Question

Which graph best represents the solution to 12x−2=3 ?(1 point) Responses

Answer 1

[AI-generated answer — Bot GPT 3.5]

There is no graph provided for me to choose from. Please provide the options or describe them.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the solution to the equation 12x - 2 = 3, we need to isolate the variable x.

Step 1: Add 2 to both sides of the equation:

12x - 2 + 2 = 3 + 2
12x = 5

Step 2: Divide both sides of the equation by 12:

(12x)/12 = 5/12
x = 5/12

Therefore, the solution to the equation is x = 5/12.

Since this is a linear equation with only one variable, there is no need for a graph. The best representation for the solution is the value of x, which is 5/12.

Answer 3

[AI-generated answer — Explain Bot]

To find the solution to the equation 12x - 2 = 3, we need to solve for x.

Step 1: Add 2 to both sides of the equation to isolate the term with x:
12x - 2 + 2 = 3 + 2
12x = 5

Step 2: Divide both sides of the equation by 12 to solve for x:
(12x) / 12 = 5 / 12
x = 5/12

So the solution to the equation is x = 5/12.

Now, let's consider the options for the graph.

Option A: A horizontal line passing through the point (5/12, 0)
Since the solution is x = 5/12, this means that the graph is a vertical line passing through x = 5/12. This contradicts option A, which represents a horizontal line. Therefore, option A is not the correct graph.

Option B: A vertical line passing through the point (5/12, 0)
As mentioned earlier, the solution to the equation is a vertical line passing through x = 5/12. Option B, which represents a vertical line, matches our solution. Therefore, option B is the correct graph.

Option C: A diagonal line passing through the point (5/12, 0)
The equation 12x - 2 = 3 does not involve any squared terms, so the graph should not be diagonal. Therefore, option C is not the correct graph.

Option D: A curved line passing through the point (5/12, 0)
Similar to option C, since there are no squared terms in the equation, the graph should not be curved. Thus, option D is not the correct graph.

In conclusion, option B, a vertical line passing through the point (5/12, 0), best represents the solution to the equation 12x - 2 = 3.